21101110000101 has 48 divisors (see below), whose sum is σ = 31333761059328. Its totient is φ = 13673827468800.

The previous prime is 21101110000097. The next prime is 21101110000183. The reversal of 21101110000101 is 10100001110112.

It is not a de Polignac number, because 21101110000101 - 2² = 21101110000097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101110070101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2632041645 + ... + 2632049661.

It is an arithmetic number, because the mean of its divisors is an integer number (652786688736).

Almost surely, 2^{21101110000101} is an apocalyptic number.

It is an amenable number.

21101110000101 is a deficient number, since it is larger than the sum of its proper divisors (10232651059227).

21101110000101 is a wasteful number, since it uses less digits than its factorization.

21101110000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14802 (or 14799 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 21101110000101 its reverse (10100001110112), we get a palindrome (31201111110213).

The spelling of 21101110000101 in words is "twenty-one trillion, one hundred one billion, one hundred ten million, one hundred one", and thus it is an aban number.